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Finding the Third Proportional to 226,224,159.61 and 487,113,731.02

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Solution

The third proportional to 226,224,159.61 and 487,113,731.02 is: 1,048,870,232.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,224,159.61 : 487,113,731.02 = 487,113,731.02 : x
  2. Step 2: Convert to fraction form
    226,224,159.61/487,113,731.02 = 487,113,731.02/x
  3. Step 3: Cross multiply
    226,224,159.61x = 487,113,731.02 × 487,113,731.02
  4. Step 4: Simplify right side
    226,224,159.61x = 237,279,786,943,957,792
  5. Step 5: Solve for x
    x = 237,279,786,943,957,792/226,224,159.61
  6. Step 6: Final answer
    x = 1,048,870,232.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.